Rings of continuous functions and the branch set of a covering
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Abstract:
This paper gives a characterization of the branch set of a finite covering $X\to S$ of a topological space $S$, by means of finite $C(S)$-subalgebras $A$ of $C(X)$ that separate points in $X$ and the module $\Omega _{A/C(S)}$ of its Kähler differentials.References
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Additional Information
- M. A. Mulero
- Affiliation: Departamento de Matemáticas, Universidad de Extremadura 06071 Badajoz, Spain
- Email: mamulero@ba.unex.es
- Received by editor(s): January 30, 1996
- Received by editor(s) in revised form: January 1, 1997
- Communicated by: Franklin D. Tall
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2183-2189
- MSC (1991): Primary 54C40, 13B10, 54C10
- DOI: https://doi.org/10.1090/S0002-9939-98-04353-6
- MathSciNet review: 1451822